Finding the Fourth Proportional to 2,055.20, 3,084.24 and 757.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.20 : 3,084.24 = 757.76 : x
2. Step 2: Convert to fraction form
   2,055.20/3,084.24 = 757.76/x
3. Step 3: Cross multiply
   2,055.20x = 3,084.24 × 757.76
4. Step 4: Simplify right side
   2,055.20x = 2,337,113.70
5. Step 5: Solve for x
   x = 2,337,113.70/2,055.20
6. Step 6: Final answer
   x = 1,137.17